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Title: TV-based conjugate gradient method and discrete L-curve for few-view CT reconstruction of X-ray in vivo data

Journal Article · · Optics Express
DOI:https://doi.org/10.1364/OE.23.005368· OSTI ID:1190778
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  1. Karlsruhe Inst. of Technology (KIT), Karlsruhe (Germany)
  2. Argonne National Lab. (ANL), Argonne, IL (United States)
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High-resolution, three-dimensional (3D) imaging of soft tissues requires the solution of two inverse problems: phase retrieval and the reconstruction of the 3D image from a tomographic stack of two-dimensional (2D) projections. The number of projections per stack should be small to accommodate fast tomography of rapid processes and to constrain X-ray radiation dose to optimal levels to either increase the duration o fin vivo time-lapse series at a given goal for spatial resolution and/or the conservation of structure under X-ray irradiation. In pursuing the 3D reconstruction problem in the sense of compressive sampling theory, we propose to reduce the number of projections by applying an advanced algebraic technique subject to the minimisation of the total variation (TV) in the reconstructed slice. This problem is formulated in a Lagrangian multiplier fashion with the parameter value determined by appealing to a discrete L-curve in conjunction with a conjugate gradient method. The usefulness of this reconstruction modality is demonstrated for simulated and in vivo data, the latter acquired in parallel-beam imaging experiments using synchrotron radiation.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1190778
Journal Information:
Optics Express, Vol. 23, Issue 5; ISSN 1094-4087
Publisher:
Optical Society of America (OSA)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 37 works
Citation information provided by
Web of Science

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An iterative image reconstruction algorithm combined with forward and backward diffusion filtering for in-line X-ray phase-contrast computed tomography journal August 2018
Design and Simulation Study of a CNT-Based Multisource Cubical CT System for Dynamic Objects journal August 2018
Source and coded aperture joint optimization for compressive X-ray tomosynthesis journal January 2019

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